The so-called `new topologically massive' (NTM) models for bosonic fields were first introduced in [1]} in Minkowski space. Extensions of these models to fields with half-integer spin were proposed in [2]}, where their generalisations to an AdS background were also given.
These models are formulated solely in terms of the gauge prepotentials \(h_{\alpha (n)}\)  and
the associated Cotton tensors \(\mathfrak {C}_{\alpha (n)}(h)\) .
Having obtained explicit expressions for the latter in AdS, we now take a closer look at these models.
